Here is the problem, and how Psi(x,0), Psi(x,t), and Phi(k) are constructed
Now I have found parts A-C fine, with
\Psi(x,0) having a normalization constant of
\sqrt{\frac{a}{2\pi}} \\
\phi(k) = \frac{2a}{k^2+a^2}\sqrt{\frac{a}{2\pi}}
For the last part, I understand how for small a Psi has...